Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet

The purpose of this article is to study and analyze the convective flow of a third grade non-Newtonian fluid due to a linearly stretching sheet subject to a magnetic field. The dimensionless entropy generation equation is obtained by solving the reduced momentum and energy equations. The momentum an...

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Main Authors: M.M. Rashidi, S. Bagheri, E. Momoniat, N. Freidoonimehr
Format: Article
Language:English
Published: Elsevier 2017-03-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447915001434
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author M.M. Rashidi
S. Bagheri
E. Momoniat
N. Freidoonimehr
author_facet M.M. Rashidi
S. Bagheri
E. Momoniat
N. Freidoonimehr
author_sort M.M. Rashidi
collection DOAJ
description The purpose of this article is to study and analyze the convective flow of a third grade non-Newtonian fluid due to a linearly stretching sheet subject to a magnetic field. The dimensionless entropy generation equation is obtained by solving the reduced momentum and energy equations. The momentum and energy equations are reduced to a system of ordinary differential equations by a similarity method. The optimal homotopy analysis method (OHAM) is used to solve the resulting system of ordinary differential equations. The effects of the magnetic field, Biot number and Prandtl number on the velocity component and temperature are studied. The results show that the thermal boundary-layer thickness gets decreased with increasing the Prandtl number. In addition, Brownian motion plays an important role to improve thermal conductivity of the fluid. The main purpose of the paper is to study the effects of Reynolds number, dimensionless temperature difference, Brinkman number, Hartmann number and other physical parameters on the entropy generation. These results are analyzed and discussed.
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spelling doaj.art-409f1eafbe1b4154af84d3e260b1cd622022-12-21T22:26:21ZengElsevierAin Shams Engineering Journal2090-44792017-03-0181778510.1016/j.asej.2015.08.012Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheetM.M. Rashidi0S. Bagheri1E. Momoniat2N. Freidoonimehr3Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, ChinaMechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, IranDST/NRF Centre for Excellence in the Mathematical and Statistical Sciences, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South AfricaYoung Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, IranThe purpose of this article is to study and analyze the convective flow of a third grade non-Newtonian fluid due to a linearly stretching sheet subject to a magnetic field. The dimensionless entropy generation equation is obtained by solving the reduced momentum and energy equations. The momentum and energy equations are reduced to a system of ordinary differential equations by a similarity method. The optimal homotopy analysis method (OHAM) is used to solve the resulting system of ordinary differential equations. The effects of the magnetic field, Biot number and Prandtl number on the velocity component and temperature are studied. The results show that the thermal boundary-layer thickness gets decreased with increasing the Prandtl number. In addition, Brownian motion plays an important role to improve thermal conductivity of the fluid. The main purpose of the paper is to study the effects of Reynolds number, dimensionless temperature difference, Brinkman number, Hartmann number and other physical parameters on the entropy generation. These results are analyzed and discussed.http://www.sciencedirect.com/science/article/pii/S2090447915001434Entropy analysisThird grade fluidNon-Newtonian fluidStretching sheetMagnetic field
spellingShingle M.M. Rashidi
S. Bagheri
E. Momoniat
N. Freidoonimehr
Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet
Ain Shams Engineering Journal
Entropy analysis
Third grade fluid
Non-Newtonian fluid
Stretching sheet
Magnetic field
title Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet
title_full Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet
title_fullStr Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet
title_full_unstemmed Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet
title_short Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet
title_sort entropy analysis of convective mhd flow of third grade non newtonian fluid over a stretching sheet
topic Entropy analysis
Third grade fluid
Non-Newtonian fluid
Stretching sheet
Magnetic field
url http://www.sciencedirect.com/science/article/pii/S2090447915001434
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AT emomoniat entropyanalysisofconvectivemhdflowofthirdgradenonnewtonianfluidoverastretchingsheet
AT nfreidoonimehr entropyanalysisofconvectivemhdflowofthirdgradenonnewtonianfluidoverastretchingsheet